First of all: get FireFox and use the FireBug addon. Select the element and you'll see it has class="cbpbControlArea"
Now, go get Windows Grep (or if you're on a linux box, use grep) and find the file where the code is generated. It happens to be in components/com_profiler/plugin/user/plub_cbprofilebook/cb.profilebook.php. Comment out the code you don't like.